Number of permissible patterns of primes in a fixed interval of n consecutive integers.

Terms

a(0) =0a(1) =1a(2) =2a(3) =4a(4) =6a(5) =9a(6) =12a(7) =18a(8) =24a(9) =34a(10) =44a(11) =58a(12) =72a(13) =100a(14) =128a(15) =169a(16) =210a(17) =267a(18) =324a(19) =429a(20) =534a(21) =694a(22) =854a(23) =1064a(24) =1274a(25) =1657a(26) =2040a(27) =2571a(28) =3102a(29) =3780